Deformation theory of some algebraic structure goes back to Gerstenhaber [1]} for associative algebras and Nijenhuis-Richardson [2]} for Lie algebras. Recently, deformation theory has been adapted to Rota-Baxter operators on Lie algebras [3]} and subsequently developed in [4]} for associative algebras. In both these papers, the authors only considered deformations of Rota-Baxter operators by keeping the underlying algebras intact. In [5]}, [6]} the authors dealt with deformations of Rota-Baxter algebras in which they simultaneously deform Rota-Baxter operators and the underlying algebras. Note that all these works are concern about Rota-Baxter operators of weight zero.
